90887 ÷ 6 = 15147 R5
Alright, let's work through the division of 90887 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 2:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 30 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

Step 3:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 151
Subtract 6 from 8 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 4:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1514
Subtract 24 from 28 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 5:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 15147
Subtract 42 from 47 to get 5.

The final result is 15147 with a remainder of 5.